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1122122221200 = 243252378424341
BaseRepresentation
bin10000010101000011101…
…100100100011010010000
310222021101121221001011200
4100111003230210122100
5121341101242034300
62215255033311200
7144033143335161
oct20250354443220
93867347831150
101122122221200
113a2986816232
12161584565500
1381a7b0511a6
143c44d581768
151e2c7bc3200
hex10543b24690

1122122221200 has 180 divisors, whose sum is σ = 3999321575028. Its totient is φ = 291145190400.

The previous prime is 1122122221117. The next prime is 1122122221229. The reversal of 1122122221200 is 21222212211.

It is a happy number.

1122122221200 is a `hidden beast` number, since 1 + 1 + 221 + 22 + 221 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4247389584 + 1117874831616 = 65172^2 + 1057296^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4078971 + ... + 4345370.

Almost surely, 21122122221200 is an apocalyptic number.

1122122221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122122221200 is an abundant number, since it is smaller than the sum of its proper divisors (2877199353828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1122122221200 is a wasteful number, since it uses less digits than its factorization.

1122122221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424402 (or 8424388 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122122221200 its reverse (21222212211), we get a palindrome (1143344433411).

The spelling of 1122122221200 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".